Greatest Common Factor of 2300 and 2305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2300, 2305 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2300 and 2305 is 5.

GCF(2300,2305) = 5

GCF of 2300 and 2305

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2300 and 2305

GCF of 2300 and 2305 is 5

Prime Factorization of 2300


2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 2300 are 2,5,23. Prime factorization of 2300 in exponential form is:

2300 = 22×52×231

Prime Factorization of 2305


5 2305
461 461
1

Prime factors of 2305 are 5,461. Prime factorization of 2305 in exponential form is:

2305 = 51×4611

∴ So by taking common prime factors GCF of 2300 and 2305 is 5

Greatest Common Factor of 2300 and 2305 by matching factors method

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300

Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1,5,461,2305

Greatest Common Factor

We found the factors and prime factorization of 2300 and 2305. The biggest common factor number is the GCF number.
So the greatest common factor 2300 and 2305 is 5.

Also check out the Least Common Multiple of 2300 and 2305

Properties of GCF 2300 and 2305

(i) The GCF of 2300 and 2305 is associative

GCF of 2300 and 2305 = GCF of 2305 and 2300

Related Greatest Common Factor of 2300

Related Greatest Common Factor of 2305

Frequently Asked Questions on GCF of 2300 and 2305

1. What is the GCF of 2300 and 2305?

Answer: GCF of 2300 and 2305 is 5.

2. What are the Factors of 2300?

Answer: Factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300. There are 18 integers that are factors of 2300. The greatest factor of 2300 is 2300.

3. What are the Factors of 2305?

Answer: Factors of 2305 are 1, 5, 461, 2305. There are 4 integers that are factors of 2305. The greatest factor of 2305 is 2305.

4. How to Find the GCF of 2300 and 2305?

Answer:

Greatest Common Factor of 2300 and 2305 = 5

Step 1: Find the prime factorization of 2300

2300 = 2 x 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 2305

2305 = 5 x 461

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 2300 and 2305 is 5